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Supernova neutrino oscillations: A simple analytical approach

G. L. Fogli·E. Lisi·D. Montanino·A. Palazzo
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Abstract

Analyses of observable supernova neutrino oscillation effects require the calculation of the electron (anti)neutrino survival probability P_ee along a given supernova matter density profile. We propose a simple analytical prescription for P_ee, based on a double-exponential form for the crossing probability and on the concept of maximum violation of adiabaticity. In the case of two-flavor transitions, the prescription is shown to reproduce accurately, in the whole neutrino oscillation parameter space, the results of exact numerical calculations for generic (realistic or power-law) profiles. The analytical approach is then generalized to cover three-flavor transitions with (direct or inverse) mass spectrum hierarchy, and to incorporate Earth matter effects. Compact analytical expressions, explicitly showing the symmetry properties of P_ee, are provided for practical calculations.

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G. L. Fogli, E. Lisi, D. Montanino, A. Palazzo. 2001-11-15. Supernova neutrino oscillations: A simple analytical approach. https://doi.org/10.1103/physrevd.65.073008%2010.1103%2Fphysrevd.66.039901

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